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Finding the Fourth Proportional to 432.90, 597.40 and 236.42

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Solution

The fourth proportional to 432.90, 597.40 and 236.42 is: 326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.90 : 597.40 = 236.42 : x
  2. Step 2: Convert to fraction form
    432.90/597.40 = 236.42/x
  3. Step 3: Cross multiply
    432.90x = 597.40 × 236.42
  4. Step 4: Simplify right side
    432.90x = 141,237.31
  5. Step 5: Solve for x
    x = 141,237.31/432.90
  6. Step 6: Final answer
    x = 326.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.